model 7 average on ages/weight Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 9 EXERCISES

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The following question based on average topic of quantitative aptitude

Questions : When the average age of a husband and wife and their son was 42 years, the son got married and a child was born just one year after the marriage. When child turned to be five years then the average age of family became 36 years. What was the age of daughter-in-law at the time of marriage ?

(a) 25 years

(b) 26 years

(c) 23 years

(d) 24 years

The correct answers to the above question in:

Answer: (d)

H + W + S = 42 × 3 = 126

(H + W + S) + D + C = 36 × 5 = 180

(126 + 6 × 3) + D + C = 180

⇒ (126 + 18) + D + C = 180

⇒ 144 + D + C = 180

⇒ D + C = 180 – 144 = 36

∴ Age of daughter-in-law at the time of marriage (D).

= 36 – (6 + 6) = 24 years

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Read more ages weights Based Quantitative Aptitude Questions and Answers

Question : 1

The average age of eleven cricket players is 20 years. If the age of the coach is also included, the average age increases by 10%. The age of the coach is

a) 44 years

b) 48 years

c) 36 years

d) 40 years

Answer: (a)

Total age of 11 players = 11 × 20 = 220 years

Total age of 11 players and the coach = 12 × 22 = 264 years

∴ Age of the coach = (264 – 220) years

= 44 years

Question : 2

Two years ago the average age of a family of 8 members was 18 years. After the addition of a baby, the average age of the family is same today. What is the age of the baby ?

a) 1$1/2$ years

b) 2 years

c) 2 $1/2$ years

d) 1 year

Answer: (b)

Sum of present ages of 9 member family = 18 × 9 = 162 years

Sum of 8 member’s present ages = 18 × 8 + 2 × 8

= 144 + 16 = 160 years

Child’s age = 162 – 160 = 2 years

Question : 3

There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a newcomer. If the average of the class thereby, was lowered by one month, the age of the newcomer is

a) 15 years

b) 14 years

c) 17 years

d) 16 years

Answer: (d)

Total age decrease = 24 × 1 = 24 months = 2 years

∴ Age of newcomer = 18 – 2 = 16 years.

Question : 4

The average age of a husband and wife, who were married 4 years ago, was 25 years at the time of their marriage. The average age of the family consisting of husband, wife and a child, born during the interval is 20 years today. The age of the child is

a) 2 years

b) 1 year

c) 3 years

d) 2.5 years

Answer: (a)

Sum of the present age of husband and wife

= 2 × 25 + 2 × 4 = 58 years

Sum of the present age of husband, wife and child

= 3 × 20 = 60 years

&there; Child’s present age

= 60 – 58 = 2 years

Question : 5

The average age of 30 boys in a class is 15 years. One boy aged 20 years, left the class, but two new boys came in his place whose ages differ by 5 years. If the average age of all the boys now in the class still remains 15 years, the age of the younger newcomer is :

a) 15 years

b) 20 years

c) 8 years

d) 10 years

Answer: (a)

Let the age of younger boy be x years.

∴ Age of older boy = (x + 5) years.

Then, total age of 30 boys = 30 × 15 = 450 years.

Total age of 31 boys after two newcomers join &1 left

= 450 – 20 + x + x + 5

= 435 + 2x

Clearly, 435 + 2x = 31 × 15

⇒ 2x = 465 – 435

⇒ x = $30/2$ =15 years

Question : 6

The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is :

a) 16 years

b) 15.2 years

c) 16.4 years

d) 16.2 years

Answer: (a)

Total age of 40 old students = 40 × 15 = 600 years.

Total age of 40 old and 10 new students = 50 × 15.2 = 760 years

∴ Total age of 10 new students = 760–600 = 160 years.

∴ Required average age = $160/10$ = 16 years.

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